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Welcher Weg? A trajectory representation of a quantum Young’s diffraction experiment. (English) Zbl 1129.81302

Summary: The double slit problem is idealized by simplifying each slit by a point source. A composite reduced action for the two correlated point sources is developed. Contours of the reduced action, trajectories and loci of transit times are developed in the region near the two point sources. The trajectory through any point in Euclidean 3-space also passes simultaneously through both point sources.

MSC:

81P05 General and philosophical questions in quantum theory
81P20 Stochastic mechanics (including stochastic electrodynamics)
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[1] Floyd, E.R.: Phys. Rev. D 34, 3246 (1986) · doi:10.1103/PhysRevD.34.3246
[2] Floyd, E.R.: Gravitation and cosmology: from the Hubble radius to the Planck scale. In: Amoroso, R.L., Hunter, G., Kafatos, M., Vigier, J.-P. (eds.) Proceedings of a Symposium in Honour of the 80th Birthday of Jean-Pierre Vigier. Kluwer Academic, Dordrecht (2002), extended version promulgated as quant-ph/00009070 · Zbl 1005.00047
[3] Floyd, E.R.: Interference, reduced action and trajectories. Found. Phys. 37 (2007, in press) · Zbl 1129.81301
[4] Faraggi, A.E., Matone, M.: Int. J. Mod. Phys. A 15, 1869 (2000), hep-th/98090127
[5] Bertoldi, G., Faraggi, A.E., Matone, M.: Class. Quantum Gravity 17, 3965 (2000), hep-th/9909201 · Zbl 0971.83011 · doi:10.1088/0264-9381/17/19/302
[6] Carroll, R.: Can. J. Phys. 77, 319 (1999), quant-ph/9904081 · doi:10.1139/cjp-77-4-319
[7] Carroll, R.: Quantum Theory, Deformation and Integrability, pp. 50–56. Elsevier, Amsterdam (2000) · Zbl 1008.81502
[8] Carroll, R.: Uncertainty, trajectories, and duality. quant-ph/0309023
[9] Morse, P.M., Feshbach, H.: Methods of Theoretical Physics, Part II, p. 1284. McGraw–Hill, New York (1953) · Zbl 0051.40603
[10] Philippidis, C., Dewdney, C., Hiley, B.J.: Nuovo Cimento B 52, 15 (1979) · doi:10.1007/BF02743566
[11] Guantes, R., Sanz, A.S., Margalef-Roig, J., Miret-Artés, S.: Surf. Sci. Rep. 53, 199 (2004) · doi:10.1016/j.surfrep.2004.02.001
[12] Bohm, D.: Phys. Rev. 85, 166 (1953) · Zbl 0046.21004 · doi:10.1103/PhysRev.85.166
[13] Floyd, E.R.: Phys. Rev. D 26, 1339 (1982) · doi:10.1103/PhysRevD.26.1339
[14] Goldstein, H.: Classical Mechanics, 2nd edn., p. 441. Addison–Wesley, Reading (1980) · Zbl 0491.70001
[15] Morse, P.M., Feshbach, H.: Methods of Theoretical Physics, Part I, p. 661. McGraw–Hill, New York (1953) · Zbl 0051.40603
[16] Holland, P.R.: The Quantum Theory of Motion, pp. 85–86, 183, 201. Cambridge University Press, Cambridge (1993)
[17] Zhao, Y., Makri, N.: J. Chem. Phys. 119, 60 (2003) · doi:10.1063/1.1574805
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